For a certain proposed structural system, x1 and x2 are nonzeroquantities that represent the extents of two design inputs A and B,respectively. It is desired that the sum of 2 units of A and 4units of B must not exceed 21 units; also, the sum of 5 units of Aand 3 units of B must not exceed 18. Maximize the overallstructural performance of the system, denoted as Z, where C is thesum of 3 units of A and 2 units of B. (a) On a graph sheet, clearlyshow the feasible region for the constraint set and label allvertices of the feasible region. Using an appropriate softwareplatform, determine the optimal solution.
